I sometimes wonder how things like hairstyles can be aquired - when the Anis morphed other people, they looked as they should, presumably with the hair cut in the same way etc. Haircuts aren't DNA, so how does that work? Them keeping their own hairstyles I guess I can understand, as their bodies were sent into Z-space.
So morphing heals injuries, including to their own bodies, so if Marco broke his arm he could morph and remorph to fix it. When they morphed steers, they turned out to be bulls, as neutering doesn't affect DNA. Jake is Jewish, so would he have had a little surprise when he next used the bathroom?